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Symmetries of Regular PolyhedraExplores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.
Proof of SurjectivityCovers the proof of surjectivity, demonstrating the existence of connections between elements through arcs.
Regular Pentagon ConstructionExplores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.
Introduction to Euclidean ElementsIntroduces the fundamental concepts of Euclidean geometry and the Elements of Euclid, exploring historical background, key propositions, and postulates.
Geometry: Inaugural PropositionExplores the common inaugural proposition of Euclid and Vitruvius, focusing on commensurability and geometric figure construction.
Embedding into l_infCovers open balls, lemma statements, and proof techniques in embedding into l_inf.
Introduction to Euclidean ElementsIntroduces the fundamental concepts of Euclidean geometry, focusing on the Elements of Euclid and the logical structure of geometric propositions.
Number Theory: PrimesCovers the definition of primes, the Fundamental Theorem of Arithmetic, and Euclid's Theorem.